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Finding the Fourth Proportional to 722.02, 996.69 and 460.12

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Solution

The fourth proportional to 722.02, 996.69 and 460.12 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.02 : 996.69 = 460.12 : x
  2. Step 2: Convert to fraction form
    722.02/996.69 = 460.12/x
  3. Step 3: Cross multiply
    722.02x = 996.69 × 460.12
  4. Step 4: Simplify right side
    722.02x = 458,597.00
  5. Step 5: Solve for x
    x = 458,597.00/722.02
  6. Step 6: Final answer
    x = 635.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.